Fifa and Uefa were found to have “abused a dominant position” by the European Court of Justice on Thursday.
A redesigned ESL was launched hours later, but Liverpool, along with several other clubs, rejected the concept.
“I am delighted that we finally get a bit of an understanding,” Klopp told reporters.
Liverpool, along with Arsenal, Manchester City, Manchester United, Tottenham Hotspur, and Chelsea, were among the 12 clubs who joined then departed the original ESL proposal in 2021.